A quick update here! I got my 7I92TM and 7I76U today, and after some swearing at Linux networking I got them flashed and confirmed working via halscope. Thanks all for getting me to this point, I need to request an RMA for the other card as well and get them in the mail.
Thanks again to everyone who's gotten me here. Now that I've got this sorted out and am confident I understand a bit more about Mesa / Hal / etc, I'm going to build out the wiring diagram, which I'll put in my other thread.
Thanks!